The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 16.7% daily failure rate Complete parts (a) through (d) below. a. What is the probability that the student's alarm dock will not work on the moming of an important final exam? 0.167 (Round to three decimal places as needed.) b. If the student has two such alam clocks, what is the probability that they both tail on the moming of an important final exam? 0.02780 (Round to five decimal places as needed.) e. What is the probability of not being awakened if the student uses three independent alarm clocks? ORound to five decimal places as needed.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 16.7% daily failure rate.
Complete parts (a) through (d) below.
a. What is the probability that the student's alarm clock will not work on the moming of an important final exam?
0.167 (Round to three decimal places as needed.)
b. If the student has two such alam clocks, what is the probability that they both fail on the moming of an important final exam?
0.02789 (Raund to five decimal places as needed.)
c. What is the probability of not being awakened if the student usen three independent alarm clocks?
ORound to five decimal places as needed.)
Transcribed Image Text:The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 16.7% daily failure rate. Complete parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the moming of an important final exam? 0.167 (Round to three decimal places as needed.) b. If the student has two such alam clocks, what is the probability that they both fail on the moming of an important final exam? 0.02789 (Raund to five decimal places as needed.) c. What is the probability of not being awakened if the student usen three independent alarm clocks? ORound to five decimal places as needed.)
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